We investigate the global bifurcations and multipulse chaotic dynamics of a simply supported laminated composite piezoelectric rectangular thin plate under combined parametric and transverse excitations. We analyze directly the nonautonomous governing equations of motion for the laminated composite piezoelectric rectangular thin plate. The results obtained here indicate that the multipulse chao...

this paper has focused on vibration and buckling of thin rectangular plates when at least two opposite sides are simply supported condition and subjected to axial and biaxial initially stresses. analysis is based on exact solution method, without further usage of any approximate method. first analytic techniques are used to discuss the free vibrations of plate. then, natural frequencies and cri...

Both the local and global bifurcations of a parametrically and externally excited simply supported rectangular thin plate are analyzed. The formulas of the thin plate are derived from the von Kármán equation and Galerkin’s method. The method of multiple scales is used to find the averaged equations. The numerical simulation of local bifurcation is given. The theory of normal form, based on the ...

Spring constant calibration of the atomic force microscope (AFM) cantilever is of fundamental importance for quantifying the force between the AFM cantilever tip and the sample. The calibration within the framework of thin plate theory undoubtedly has a higher accuracy and broader scope than that within the well-established beam theory. However, thin plate theory-based accurate analytic determi...

An investigation into the dynamic characterisation of a rectangular flexible plate structure is presented and a simulation algorithm characterising the behaviour of the plate is developed using finite difference methods. A thin, rectangular plate, with all edges clamped, is considered. The investigation is accomplished by varying the width over the length ratio of the plate. The algorithm is im...

natural vibration analysis of plates represents an important issue in engineering applications. in this paper, a new and simplify method for vibration analysis of circular and rectangular plates is presented. the design of an effective robust controller, which consistently attenuates transverse vibration of the plate caused by an external disturbance force, is given. the dynamics of the plate i...

The dynamic buckling of a thin orthotropic thermoviscoplastic plate is studied by analyzing the stability of a stressed/deformed plate under superimposed infinitesimal perturbations. Elastic deformations are neglected. The wavelength of the perturbation that has the maximum initial growth rate is assumed to determine the buckled shape of the plate. The buckled shape of a rectangular plate loade...

A numerical study of steady-state, fully developed, MHD duct flows is presented for the case of an applied transverse magnetic field and a two-dimensional variation of the flow parameters in the plane perpendicular to the flow direction, with no variations in fluid properties. Solutions are found for (i) rectangular ducts with no obstacles and (ii) rectangular ducts containing thin flat plates,...

In this article, an exact analytical solution for thermal buckling analysis of thin functionallygraded (FG) rectangular plates is presented. Based on the classical plate theory and using the principle ofminimum total potential energy, the stability equations are obtained. Since the material properties in FGmaterials are functions of the coordinates (specially the thickness), the stability equat...